Journal of Applied Physics
October 1, 2000, Volume 88, Issue 7, pp. 4013-4016

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Void-containing materials with tailored Poisson's ratio

Olga A. Goussev and Peter Richner
Swiss Federal Laboratory for Materials Testing and Research, Überlandstrasse 129, CH-8600 Düebendorf, Switzerland
Michael G. Rozman and Andrei A. Gusev
Institute of Polymers, Department of Materials, ETH-Zentrum, CH-8092 Zürich, Switzerland
(Received 7 February 2000; accepted 22 June 2000)

Assuming square, hexagonal, and random packed arrays of nonoverlapping identical parallel cylindrical voids dispersed in an aluminum matrix, we have calculated numerically the concentration dependence of the transverse Poisson's ratios. It was shown that the transverse Poisson's ratio of the hexagonal and random packed arrays approached 1 upon increasing the concentration of voids while the ratio of the square packed array along the principal continuation directions approached 0. Experimental measurements were carried out on rectangular aluminum bricks with identical cylindrical holes drilled in square and hexagonal packed arrays. Experimental results were in good agreement with numerical predictions. We then demonstrated, based on the numerical and experimental results, that by varying the spatial arrangement of the holes and their volume fraction, one can design and manufacture voided materials with a tailored Poisson's ratio between 0 and 1. In practice, those with a high Poisson's ratio, i.e., close to 1, can be used to amplify the lateral responses of the structures while those with a low one, i.e., close to 0, can largely attenuate the lateral responses and can therefore be used in situations where stringent lateral stability is needed.

©2000 American Institute of Physics.


81.40.Jj Treatment of materials and its effects on microstructure and properties.
61.72.Qq Structure of solids and liquids; microscopic defects (voids, inclusions, etc.).
62.20.Dc Mechanical and acoustical properties of condensed matter; elasticity, elastic constants.

Keywords: voids, Poisson's ratio

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© 2001 Michael Rozman (
Last modified: May 17, 2001